Table 1 Systematic corrections.

Shown are systematic corrections and corrected centers for the 18 parameter sets (d, v, Erf) used in our measurement. Systematic effects for Doppler shift (ΔDop), ac Stark shift (Δac), and phase error (Δϕ) are listed with their uncertainties. The rightmost column provides the corrected line center along with the total statistical and systematic uncertainties. The bottom row indicates weighted averages.

d (cm)v (mm/ns)Erf (V/cm)weight (%)ΔDop (kHz)Δac (kHz)Δϕ (kHz)f0[corrected] (kHz)
43.2256.3−52.6(1.1)5.5(0.8)0.0(2.0)909,872.5(3.5)(2.4)
43.22815.3−52.6(1.1)13.5(1.3)0.0(2.0)909,875.8(2.0)(2.6)
43.22140.0−52.6(1.1)42.9(3.3)0.0(1.9)909,876.4(1.1)(4.0)
42.25143.0−25.7(0.5)32.4(2.2)0.0(1.8)909,870.8(3.9)(2.9)
41.99140.5−20.0(0.4)28.6(2.3)0.0(1.6)909,862.7(8.6)(2.9)
43.22180.0−52.6(1.1)75.1(5.4)0.0(1.7)909,870.9(0.9)(5.8)
43.22240.0−52.6(1.1)152.9(10.5)0.0(1.7)909,873.9(1.4)(10.6)
53.22810.5−52.6(1.1)10.0(1.4)0.0(1.6)909,872.4(4.6)(2.4)
53.221411.1−52.6(1.1)34.4(2.9)0.0(1.6)909,865.5(3.3)(3.4)
53.22183.4−52.6(1.1)61.6(4.6)0.0(1.5)909,865.0(2.5)(4.9)
53.22240.0−52.6(1.1)128.8(9.0)0.0(1.4)909,863.9(2.2)(9.2)
63.2284.2−52.6(1.1)8.3(1.1)0.0(1.4)909,868.7(8.7)(2.0)
63.221411.7−52.6(1.1)29.1(2.4)0.0(1.3)909,876.4(4.3)(2.9)
63.22189.1−52.6(1.1)52.4(3.8)0.0(1.3)909,871.6(3.7)(4.2)
63.22240.0−52.6(1.1)110.9(7.7)0.0(1.2)909,871.6(4.5)(7.8)
73.221411.6−52.6(1.1)26.3(2.0)0.0(1.2)909,874.9(5.9)(2.5)
73.221811.1−52.6(1.1)46.8(3.2)0.0(1.2)909,867.5(5.3)(3.6)
73.22242.4−52.6(1.1)98.6(6.8)0.0(1.1)909,869.0(4.8)(6.9)
weighted average:−51.6(1.0)29.5(2.3) 0.0(1.5)909,871.7(1.4)(2.9)